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Finding the Fourth Proportional to 30,674.36, 42,327.69 and 17,930.53

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Solution

The fourth proportional to 30,674.36, 42,327.69 and 17,930.53 is: 24,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.36 : 42,327.69 = 17,930.53 : x
  2. Step 2: Convert to fraction form
    30,674.36/42,327.69 = 17,930.53/x
  3. Step 3: Cross multiply
    30,674.36x = 42,327.69 × 17,930.53
  4. Step 4: Simplify right side
    30,674.36x = 758,957,703.74
  5. Step 5: Solve for x
    x = 758,957,703.74/30,674.36
  6. Step 6: Final answer
    x = 24,742.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.